Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).

y = 2x + 3
y = -x - 5

Answers

Answer 1

Since both equations are solved for y, use substitution.

y = 2x + 3
y = -x - 5

2x + 3 = -x - 5

3x + 3 = -5

3x = -8

x = -8/3

Now substitute -8/3 in for x in the original first equation, and solve for y.

y = 2x + 3

y = 2(-8/3) + 3

y = -16/3 + 9/3

y = -7/3

Solution: (-8/3, -7/3)

Related Questions

What is the measure of ∠SPQ in this rhombus?
m∠SPR = (2x+13)°
m∠QPR = (3x−12)°

Answers

The measure of ∠SPQ in the rhombus PQRS, based on ∠ SPR = (2x+13)°, and ∠ QPR = (3x-12)°, is the sum of the two angles of ∠ SPR and ∠ QPR, which equal the whole or ∠ SPQ, in other words (2x+13)° + (3x-12)Â°.

Solution:

In a Rhombus The diagonals bisect the angles.

m∠SPR=m∠QPR

Substituting the given values :

2x+13=3x-12

Subtracting 2x both sides:

13=3x-2x-12

13=x-12

Adding 12 both sides:

x=25.

m∠SPR=2x+13=2(25)+13=50+13=63

m∠SPQ=2∠SPR

m∠SPQ=2m∠SPR

m∠SPQ=2x63=126

m∠SPQ= 126 degrees

trigonometry word problem

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Where’s the problem at??

What is the value of x using the pythagorean theorem ?

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side a is 49
side c is 121
121-49 is 72
72 squared is your x

check the picture below.

Which graph represents the solution set for -4(1-×)<-12+2×?

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i will answer assuming that the equation is 4(1-x) < -12+2x

1) 4 - 4x < - 12 + 2x

2) 2x + 4x > 4 + 12

3) 6x > 16

4) x > 16 / 6

5) x > 8 / 3

So the graph is all the real numbers greater than 8/3 which may be represented by a straight line from 8/3 to the right toward infinity

//////////////////////→
---------|--------------|--------------|----------o-----|-------------->
0 1 2 8/3 3

The great pyramid in Egypt was built around 2560 BC over the years it has lost 30 feet of height off its top and is now 451 feet tall. Find the original height of the great pyramid

Answers

You add 30+451= 481

Which congruence theorem would complete the proof shown?

SSS
SAS
ASA

Answers

the correct answer would be ASA

Answer:

ASA

C is correct

Step-by-step explanation:

We are given table of congruence of triangle.

1. Given: DC || AB and AD|| BC

2. If two lines are parallel then a tranversal line makes eight angles.

∠2=∠3 and ∠1=∠4 ( Alternate interior angle )

3 . If one side is common in two figure then reflexive property use.

CA = CA (Reflexive )

If we take two triangles ΔDAC and ΔCAB are congruent by above property.

ΔDAC ≅ ΔCAB by two angle and one side.

The property of congruence is ASA

4. ΔDAC ≅ ΔCAB by ASA

Hence, The 4th reason is ASA

When the Citizens United decision was handed down, a flood of corporate cash was expected to enter the political system. The ruling did result in more corporate and union spending, but far less than anticipated because__________.?

Answers

Many businesses and organizations were afraid of taking stances on hot-button topics or candidates. There was a fear that this would alienate a sector of their membership or customer base, and would therefore be seen as a risky investment. Much of the money that was raised was from individual donors, in actuality.

Evaluate (7² - 9 ) ÷ ( 55 - 35 ).
A: -34
B: 48
C: -4
D: 2

Answers

This answer is D, 2. Hope this helps

What do you do if you're looking for least common multiple and all your numbers are prime?

Answers

It’s important to remember the distinction between “greatest common factor” and “least common multiple.” A factor of a particular number is a bit like a multiplicative LEGO piece that makes it up; they’re the numbers that other natural numbers can be broken down into by division. A multiple is the opposite; a number and the number that it’s multiplied by (say, 8 x 5) *become factors* of a new number (40, in this case).

When we talk about finding the “least common multiple” of a set of numbers, what we’re asking is this: if you list out multiples of each number, what’s the *first* number in those lists they all have in common? For instance, if we wanted to find the least common multiple between 3 and 5, we could list out their multiples:

3, 6, 9, 12, 15, 18, 21
5, 10, 15, 20, 25, 30

15 is the first multiple that appears in both lists, so the least common multiple of 3 and 5 is 15.

Need help

Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.

Which inequality represents this situation?

A. 2.25x+2.65y>8

B. 2.25x+2.65y<8

C. 2.25x+2.65y≤8

D.2.25x+2.65y≥8

Answers

The answer is D.
I hope this helps.

Answer: The correct option is

(D) [tex]2.25x+2.65y\geq8.[/tex]

Step-by-step explanation: Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

[tex]a_l=2.5\times x=2.5x[/tex]

and the total amount of money that she spends on tomatoes is

[tex]a_t=2.65\times y=2.65y.[/tex]

Therefore, the inequality can be written as

[tex]a_l+a_t\geq 8\\\\\Rightarrow 2.25x+2.65y\geq8.[/tex]

Thus, option (D) is CORRECT.

A quarter-circle with a diameter of 4 meters. What is the area?

Answers

First, just find the area of the whole circle:

πr²
π(2)²
4π

Now, just multiply by 1/4.

4π * 1/4
π

Hope this helps!

The function b(n) = 12n represents the number of baseballs b(n) that are needed for n games. how many baseballs are needed for 15 games?

Answers

Given that the function b(n) = 12n represents the number of baseballs b(n) that are needed for n games.

Then the number of baseballs needed for 15 games is given by b(n) = 12(15) = 180.

My father is currently 13 times as old as my daughter. next year, my father will be 11 times as old as my daughter. how many years old is my father now?

Answers

suppose my daughter is x years old now, my father is 13x years old
next year my daughter will be x+1 years old, my father will be 13x+1, which is also 11(x+1)
so 13x+1=11(x+1)
13x+1=11x+11
2x+10
x=5
father is 13x=65 years old now.

The price of a set of kitchen cabinets is $1,500 in January. In February, the price is increased by 10%. After not selling, the price is reduced by 5% in March. What is the price in March?

Answers

The answer would be 1,567.50

Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set up an equation, arrive at your answer, and check your work. Then clearly state your answer.

*SHOW WORK*

Answers

21 / 30 = X (Percentage paid of original price.) 21 / 30= 0.7 * 100 = 70% 100% - 70% = 30% $21 was 30% off the original price of $30

To find the value of an expression is called

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We have learned that, in in an algebraic expression, letters can stand for numbers. When we substitute a specific value for each variable, and then perform the operations, it's called evaluating the expression. Let's evaluate the expression 3y + 2y when 5 = y.

ed is using the recipe shown to make fruit salad he wants to use 30 diced stawberries in his vruit sald how many bananas apples and pears should ed use in his fruit sald

Answers

We know that 1 serving = 4 bananas
3 apples
6 pears
and 20 strawberrys
To get 30 we need to half 20 =10 20+10=30

That means we also needs to half the other ones
1/2 of 4 = 2 4+2=6
1/2 of 3 = 1.5 3+ 1.5=4.5
1/2 of 6 = 3 6+3=9

6 Bananas
4.5 Apples
9 Pears
30 strawberries diced.

Answer:

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Answers

perpendicular lines, slope is opposite and reciprocal
y = 8x + 5 has slope = 8
so perpendicular line slope = -1/8

answer
-1/8

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

The given equation of a line : [tex]y = 8x + 5[/tex]

We know that general Slope-intercept form of equation is given by :-

[tex]y=mx+c[/tex], where m is the slope of the line.

When we compare the given equation the general slope intercept form of equation , we get

Slope of line = 8

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of line that is perpendicular to the line [tex]y = 8x + 5[/tex], then we have

[tex]-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}[/tex]

Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below. What are the solutions of –x2 + 4x = x – 4? A.–5 and 0
B.–5 and –1
C.–1 and 4
D.0 and 4

Answers

C -1 and 4 i just did the test on this

Answer

C.–1 and 4

Explanation

Solving the equations y = –x² + 4x and y = x – 4

–x² + 4x = x – 4

x² - 4x + x = 4

x² - 3x = 4

x² - 3x + (3/2)² = 4 + (3/2)²

(x - 3/2)² = 4 + 9/4

= 6.25

x - 3/2 = √6.25 or x - 3/2 = -√6.25

x = 2.5 + 1.5 x = -2.5 + 1.5

= 4 = -1

Please help with 2 questions thank you!

Show all work please!!

Answers

1:
1 - given
2 - defination of bisector
3 - reflexive
4 - given
5 - definition of bisector
6 - ASA congruence theorem

2: SQ = SQ would be the one I would use

Question 1:
1. Given
2. Definition of an angle bisector
3. Reflexive property
4. Given
5. Definition of an angle bisector
6. ASA congruence
(You might have to double check these)

Question 2:
SQ is the line segment that would prove the triangle congruent by HL, since it is a shared side.

Have an awesome day! :)

Which of the following statements about bullying is true? A. Children will independently learn positive behaviors as they mature B. Bullying is not harmful. C. Bullying is just a phase and children will grow out of it. D. Types of bullying include physical, verbal, emotional, and cyberbullying.

Answers

D is correct........ .

Types of bullying include physical, verbal, emotional, and cyberbullying about bullying is true. Correct option is D.

Option D is the correct statement. Bullying can take various forms, and the four main types of bullying are physical (e.g., hitting, pushing), verbal (e.g., name-calling, teasing), emotional (e.g., spreading rumors, excluding someone), and cyberbullying (bullying that takes place online or through digital means). It is essential to recognize and address these different types of bullying to create a safe and supportive environment for children and prevent harm.

To know more about bullying:

https://brainly.com/question/10683424

#SPJ2

Which ordered pair is a solution to this equation? 2x+3y=16 A.) (11, 1)
B.) (7,2)
C.) (5,2)
D.) (3,2)

Answers

C.) (5,2) as we put these values in the above equation we get 16 on both sides and hence the equation is satisfied.if we put values in the above equation the answer is `16. from above equation 2x+3y=16 put x=5 y=2 2(5)+3(3)=16

5,2 is the answer, this is such easy question my baby brother could do it easy

How can 32 over 6 be expressed as a decimal?

Answers

That would be 5.333333 reapeating

all i did is use a calculator and i got 5.33333333

divide this polynomial:
(x^2-6x-20) divided by (x+2)
* if someone would be able to tell me how to divide this it would be very MUCH appreciated

Answers

Hi!

So I'll show you how to divide the polynomial step-by-step

First you want to write this out like any long division problem.

After that you need to see what times x is x^2?

x*x is x^2 so you want to write x over -6x, you have to make sure that you write it over the same degree term.

Now you multiply both x and 2 (which came from the x +2) by x (which was what you wrote in your first part of the quotient)

Then you subtract what you got from multiplying the x and 2 by x (you should have gotten -8x)

Now you want to bring down the next term in the dividend.

So you want to see what times x is -8x? (This should be -8)

Now you write -8 in the quotient. Now your quotient should be x-8.

After that, you want to multiply x+2 by the -8 and subtract again. (you should get -4)

Since you've filled in the last space in your quotient you have a remainder of -4. Remember to write the remainder as a fraction, -4/x+2

Hope this helped! Let me know if you still have any questions!

hi friend
here's your answer looking for

u can take the help of the attachment here

hope you are satisfied with my answer

A patchwork blanket is made up of 10 identical squares.Liam has made 14 squares,Raj has made 12 squares and Gemma has made 15 squares.How many patchwork blankets have they made between them ?

Answers

they will make 4 blankets, because when you add the patchwork squares they have made 41 patchwork squares, so 41 divided by 10 is 4, with one left over

They can make one each so in total three blankets because each one can only make one. This is because they all make patches and assuming that they all make them identical in their own piles then they would only be able to make 3 with some left over from each

Devin made some mistakes. Identify where he made each mistake:

24 ÷ 6 x (5 – 1)

= 24 ÷ 6 x 4
= 24 ÷ 24
= 1

Answers

When doing the order of operations and you are put in a situation where you do two different operations, solve the problem from left to right.
In this case instead of doing 6*4 first do 24/6 first.

The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 2. What percent of the class is boys?

Answers

60% please make me as the most brainlyest

since the ratio is boys to girls 3:2.
Then the percentage is 3/5 which then can be changed to 60 %

Five friends made 100 dollars working together.how much did each person make if the earnings are divded equally ?

Answers

• Divide: 100 ÷ 5 = 20

So each person made $20.00.

Hope this helps! :D

~PutarPotato

What is the new price of s shirt that is on sale for 50% off and has an original price of $50?

Answers

50%=1/2 or 1 half. 50/2=$25

Final answer:

To calculate the new price of the shirt on a 50% sale off its original price of $50, divide the original price by 2, resulting in a new price of $25.

Explanation:

The question asks us to calculate the new price of a shirt that is on sale with a 50% discount from its original price of $50. To find the new price, you simply need to reduce the original price by the percentage of the discount. Since a 50% discount cuts the price in half, you divide the original price by 2.

Calculation:

Original price of the shirt: $50

Discount: 50% of $50 = $50 / 2 = $25

New price after discount: $50 - $25 = $25

Therefore, the new price of the shirt after a 50% discount is $25.

The length of a side of an equilateral triangle is 12. find the length of the altitude

Answers

Final answer:

To calculate the altitude of an equilateral triangle with side length 12, divide the side by 2 and multiply by [tex]$\sqrt{3}$[/tex] giving an altitude of approximately 10.3923 units.

Explanation:

To find the length of the altitude of an equilateral triangle with a side length of 12, you can use the Pythagorean theorem. The altitude of the equilateral triangle creates two 30-60-90 right triangles. The altitude is the longer leg in this case, and the side of the triangle is the hypotenuse. In a 30-60-90 triangle, the longer leg (altitude) is [tex]$\sqrt{3}$[/tex]times the shorter leg (half of the side of the triangle).

First, divide the side of 12 into two to get the shorter leg of the right triangle, which is 6. Then, multiply 6 by $\sqrt{3}$ to find the length of the altitude. This results in:

[tex]$6 \times \sqrt{3} = 6\sqrt{3} \approx 10.3923$[/tex]

Therefore, the altitude of the equilateral triangle is approximately 10.3923 units long.

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Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y). y = 2x + 3 y = -x - 5

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Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).

y = 2x + 3
y = -x - 5